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Finding the Third Proportional to 42,507.50 and 62,465

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Solution

The third proportional to 42,507.50 and 62,465 is: 91,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,507.50 : 62,465 = 62,465 : x
  2. Step 2: Convert to fraction form
    42,507.50/62,465 = 62,465/x
  3. Step 3: Cross multiply
    42,507.50x = 62,465 × 62,465
  4. Step 4: Simplify right side
    42,507.50x = 3,901,876,225
  5. Step 5: Solve for x
    x = 3,901,876,225/42,507.50
  6. Step 6: Final answer
    x = 91,792.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.